book Maths Puzzle Numerical Ability

how can i solve this question

a)find the dimensions and perimeter of the rectangle of maximum perimeter that can be inscribed in the ellipse (x/a)^2 + (y/b)^2 = 1

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book Other Question

A coffee seller has one grade of coffee selling for $4 per pound and another for $6.50 per pound. He mixes the coffee to sell at $4.75 per pound and mixes 150 pounds. How much of each type does he use?

How do you do this? How do you graph the "piecewise function":
y=(x) +2

Thanks---we are studying for a midterm and are having a hard time with the concept "piecewise funtion".

Thanks!